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Positive solutions of quasilinear differential equations corresponding to F-harmonic maps

✍ Scribed by Man Chun Leung

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
144 KB
Volume
35
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

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Consider the following quasilinear differential equation: ( IU'(t)lp-2 u'(t))' + f(t, u(t)) = 0, a < t < b, p > 1,

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Let ~ and ]~ be positive solutions on (0, ~) to the rotationally symmetric p-harmonic map equation on model manifolds M(f) and M(ff), where f is assumed to he sufficiently large near infinity and g"(y) >1 0 for y>0. We show that if and fl have the same limit at infinity, then ~ -]~ on (0, o<~).

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We study the existence of unbounded positive entire C2-solutions of the rotationally symmetric harmonic map equations. Using the existence result, we solve the Dirichlet problem at infinity for any nonnegative boundary value at infinity. (~) 1999 Elsevier Science Ltd. All rights reserved.